Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 410, Issue -, Pages 196-204Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2014.05.034
Keywords
Global stability; Complex networks; SIRS; Epidemic model; Optimal control
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Funding
- National Natural Science Foundation of China [61174039]
- National Natural Science Foundation of Fujian Province [2011J01007, 2013J01010]
- Program for Science and Technology Development Foundation of Fuzhou University [2011-XY-18]
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In this paper, we consider an SIRS epidemic model with vaccination on heterogeneous networks. By constructing suitable Lyapunov functions, global stability of the disease-free equilibrium and the endemic equilibrium of the model is investigated. Also we firstly study an optimally controlled SIRS epidemic model on complex networks. We show that an optimal control exists for the control problem. Finally some examples are presented to show the global stability and the efficiency of this optimal control. These results can help in adopting pragmatic treatment upon diseases in structured populations. (C) 2014 Elsevier B.V. All rights reserved.
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